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Finding the Third Proportional to 304,008.19 and 476,750.81

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Solution

The third proportional to 304,008.19 and 476,750.81 is: 747,648.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,008.19 : 476,750.81 = 476,750.81 : x
  2. Step 2: Convert to fraction form
    304,008.19/476,750.81 = 476,750.81/x
  3. Step 3: Cross multiply
    304,008.19x = 476,750.81 × 476,750.81
  4. Step 4: Simplify right side
    304,008.19x = 227,291,337,219.41
  5. Step 5: Solve for x
    x = 227,291,337,219.41/304,008.19
  6. Step 6: Final answer
    x = 747,648.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.